1)calculate the polar moment of inertia of a wire with a 2 mm diameter

2) what is the difference between the elastic modulus (E) and the shear Modulus (G) ?

As part of a heat treatment process, cylindrical, 304 stainless steel rods of 100 mm diameter are cooled from an initial temperature of 500°C by suspending them in an oil bath at 30°C. If a convection coefficient of 500 W/m2K is maintained by circulation of the oil, how long does it take for the centerline of a rod to reach a temperature of 50°C, at which point it is withdrawn from the bath? If 10 rods of length L = 1 m are processed per hour, what is the nominal rate at which energy must be extracted from the bath (the cooling load)?

Consider a block of size 30 mm x 20 mm x 10 mm made of two metallic materials, the stronger material for the bottom half of the block and the weaker material for the top half. The displacements of 8 material points of the block have been measured after certain loading and they are given in the Table below.

(a) Determine the distributions of displacements, strains and stresses in the block, in the xyz co-ordinate system. Choose two suitable isotropic materials.

(b) Determine the stresses at the corner points of the plane at the interface of the two materials. Using these values, determine the stress distributions over that plane, and determine the maximum value of all these stresses (and its type and direction of action). Also determine the maximum value of the principal stress on this plane.

(c) Determine the stresses and strains in the directions of any two diagonals of the block, at each of the corner points of the block. Calculate also the changes in the lengths of these two diagonals.

Determine the changes in the maximum shear stress and octahedral shear stress at each of the corner points of the interface plane, and the changes in the lengths of the two diagonals after deformation due to a +10% change in material properties. Which property has more influence on the octahedral shear stress at each corner point of the interface?

Check whether the interface will fail using Tresca and von Mises failure criteria.

The elasticity of the top material is 105 GPa, G = 39 GPa, v=0.346. Bottom material E = 195 GPa, G = 77 GPa, v = 0.27

At a time on the sunny day of July 21, the sun shining onto the wall and window at an incident angle of 30 while the incident angle onto a horizontal surface is measured at 45. Assume the window glass have the properties of τD = 0.7; τd = 0.6; αD = 0.1; αd = 0.3. The emissivity of the wall is 0.9. Calculate:

Total solar radiation absorbed by the wall;

Total solar radiation into the room via window;

Total solar radiation reflected away by the window glass

You are a manager and are asking a member of your team to take on an additional project. Would you pay the team-member at the completion of the project or would you begin to structure payments that become effective right from start of the project? What Behavioral concept would you draw on in structuring the payments?

solve using Dynacam and write outputted polynomial equations

Design a single dwell cam to move a follower dwell from 0 to 100 deg, rise 3 inches in100 deg and fall 3 inches in 160 deg. the total cycle must take 2 sec. choose suitable functions for rise and fall to minimize acceleration. Plot SVAJ diagram

Which of the following is LEAST-Likely a starter driver part? Drive pinion gear, Flywheel, Crankshaft, Capacitor

While having a discussion, Technician A says that a coolant position sensor attached to the throttle body on the air inlet senses how many degrees the throttle plate is open. Technician B says that an air charge temperature sensor senses how many degrees the throttle plate is open. Who is correct? A only, B only, Both A and B, Neither A nor B

Briefly describe one of the method of incorporating fibers into matrix (i.e. fiber reenforced composite manufacturing method).

One kilogram of water is contained in a piston-cylinder device at 100 degC. The piston rests on lower stops such that the volume occupied by the water is 0.835 m3. The cylinder is fitted with an upper set of stops. When the piston rests against the upper stops, the volume enclosed by the piston-cylinder device is 0.841 m3. A pressure of 200 kPa is required to support the piston. Heat is added to the water until the water exists as a saturated vapor. Find the final specific volume (v4 = vg). Please show steps for interpolation.

A potential wind turbine location has an average wind speed of 5 m/s at a height of 10 m.

A) Assuming a standard wind friction coefficient of 1/7, what is the average wind power per area at the proposed tower height of 80 m?

B) If the proposed turbine has a cut-in speed of 4 m/s and a furling speed of 20 m/s, how many hours per year is the windmill not spinning (assuming Rayleigh statistics)?

C) Estimate the yearly power output (in MWh) for a turbine with a 100 m diameter and a generator rate at 2500 kW.

19. 4.5 lbm of water at 158 ^oF is mixed with 8.3 lbm of water at 30.9 ^oF. If the specific heat of water is 0.8 BTU/lbm-^oR, find the resulting temperature of the mixture in ^oF.

State your answer to one decimal place. Example: 63.5

20. 2.4 lbm of water at 136 ^oF is mixed with 9.1 lbm of water at 44.9 ^oF. If the specific heat of water is 0.8 BTU/lbm-^oR, find the sum of the change in entropy, in BTU/^oR, for the 2.4 lbm of water and 9.1 lbm of water.

State your answer to four decimal places. Example: 0.6357

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15. A reversed Carnot engine (refrigeration unit) is used to maintain the temperature inside a freezer at -34 ^oC. The room temperature in which the refrigeration unit operates is a constant 24 ^oC. If the motor on the refrigeration unit uses 0.3 kW, determine the rate at which heat is removed from the freezer in Watts.

State your answer in whole numbers. Example: 2147

I WILL RATE YOU